Approximation and Modeling with B-Splines

B-splines are fundamental to approximation and data fitting, geometric modeling, automated manufacturing, computer graphics, and numerical simulation. With an emphasis on key results and methods that are most widely used in practice, this textbook provides a unified introduction to the basic components of B-spline theory: approximation methods (mathematics), modeling techniques (engineering), and geometric algorithms (computer science). A supplemental Web site will provide a collection of problems with solutions available for instructors, slides for use in lectures, and programs with demos. Audience: Approximation and Modeling with B-Splines is appropriate as an advanced undergraduate or first-year graduate text for courses on splines or approximation and geometric modeling for students in mathematics, engineering, and computer science. Practitioners in these fields who are using B-splines in numerical simulations, computer-aided design, and visualization will also find the book useful in their work. Contents Preface; Introduction; Notation and Symbols; Chapter 1: Polynomials; Chapter 2: Bzier Curves; Chapter 3: Rational Bzier Curves; Chapter 4: B-Splines; Chapter 5: Approximation; Chapter 6: Spline Curves; Chapter 7: Multivariate Splines; Chapter 8: Surfaces and Solids; Chapter 9: Finite Elements; Notes and Comments; Appendix; Bibliography; Index.